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为了研究一维全息光子晶体的禁带性质,采用平面波展开法做了相关计算,得到了一维全息光子晶体的禁带会受到入射光角度改变以及不同偏振特性影响的结论。在制作光束正入射时,介质中会产生完全禁带。当制作光束斜入射到介质表面上时,禁带不再是完全带隙:随着制作光束照射到介质表面的入射角增大,禁带位置移向高频区域。这一结果与用传输矩阵法计算得到的结果一致。并计算了不同偏振态下禁带宽度随入射角变化的关系:对于S偏振光,禁带宽度随着入射光角度的增加而变大,对于P偏振光,禁带宽度随着入射光角度的增加而减小。为开展下一步的实验工作提供了理论依据。
In order to study the forbidden band properties of one-dimensional holographic photonic crystals, the plane wave expansion method is used to calculate the bandgap of one-dimensional holographic photonic crystals. The results show that the forbidden band of one-dimensional holographic photonic crystals is affected by the change of incident light angle and different polarization characteristics. In making a light beam is incident, the medium will produce complete forbidden band. When making a light beam obliquely incident on the surface of the medium, the forbidden band is no longer a complete bandgap: the bandgap position moves to the high frequency region as the angle of incidence of the fabrication beam onto the medium surface increases. This result is consistent with the result calculated by the transfer matrix method. For the S-polarized light, the forbidden band width increases with the increase of the incident light angle. For P-polarized light, the forbidden band width varies with the incident light angle Increase and decrease. It provides a theoretical basis for carrying out the next experimental work.